2414144040 has 128 divisors (see below), whose sum is σ = 9029560320. Its totient is φ = 501638400.

The previous prime is 2414144039. The next prime is 2414144081. The reversal of 2414144040 is 404414142.

It is a happy number.

2414144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2414144040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121396 + ... + 139875.

It is an arithmetic number, because the mean of its divisors is an integer number (70543440).

Almost surely, 2^2414144040 is an apocalyptic number.

2414144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414144040 is an abundant number, since it is smaller than the sum of its proper divisors (6615416280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2414144040 is a wasteful number, since it uses less digits than its factorization.

2414144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261303 (or 261299 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2414144040 is about 49133.9397972522. The cubic root of 2414144040 is about 1341.4908853632.

Adding to 2414144040 its reverse (404414142), we get a palindrome (2818558182).

The spelling of 2414144040 in words is "two billion, four hundred fourteen million, one hundred forty-four thousand, forty".